MathDB

2014 preRMO p15, computational with right triangle and midpoints

Source:

August 9, 2019

geometrymidpointright triangle

Problem Statement

Let

XOY

be a triangle with

\angle XOY = 90^o

. Let

M

and

N

be the midpoints of legs

OX

and

OY

, respectively. Suppose that

XN = 19

and

YM =22

. What is

XY